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Simplifying (7y + -10) + (15x + 10y) = 180 Reorder the terms: (-10 + 7y) + (15x + 10y) = 180 Remove parenthesis around (-10 + 7y) -10 + 7y + (15x + 10y) = 180 Remove parenthesis around (15x + 10y) -10 + 7y + 15x + 10y = 180 Reorder the terms: -10 + 15x + 7y + 10y = 180 Combine like terms: 7y + 10y = 17y -10 + 15x + 17y = 180 Solving -10 + 15x + 17y = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 15x + 10 + 17y = 180 + 10 Reorder the terms: -10 + 10 + 15x + 17y = 180 + 10 Combine like terms: -10 + 10 = 0 0 + 15x + 17y = 180 + 10 15x + 17y = 180 + 10 Combine like terms: 180 + 10 = 190 15x + 17y = 190 Add '-17y' to each side of the equation. 15x + 17y + -17y = 190 + -17y Combine like terms: 17y + -17y = 0 15x + 0 = 190 + -17y 15x = 190 + -17y Divide each side by '15'. x = 12.66666667 + -1.133333333y Simplifying x = 12.66666667 + -1.133333333y
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